My baked textures are black. ( file included )
I tried rendering and I noticed that there were no light in your scene, you are trying to bake the difusse color of your object without a light that can make the program recognize it's color, I've tried different things for the baking and I realized a few things.

1) I checked the normals of your model and realized that inside of your models are some parts which can't receive light, I did the unwrap a second time and noticed how it changed.



After that, I tried to bake and the problem persisted.

2) The other thing I noticed was the fact of no light in your scene, that's probably the biggest reason of why your bake was totally black. 

What did I do was to bring a lot of world light in order to make the bake successful and noticed that it worked, one thing you should try when baking in Cycles Blender is to enable the world light so you can properly bake the textures with correct shadows and ambient occlusion. In fact it is preferable to have world light instead of using multiple light spots like lamps, suns, etc.

Here is an small tutorial of how to turn on world light.

Go to the world tab in the properties panel and follow as the screenshots show.

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Here's the bake result, the exposed faces of the model received the world light so they changed.